If you would like to know which pair of measurements is not equivalent, you can calculate this using the following steps:
1 yard = 3 feet
1 foot = 12 inches
1 mile = 5280 feet
8 yards = 8 * 3 feet = 24 feet
2 feet = 2 * 12 inches = 24 inches
10 feet = 10 * 12 inches = 120 inches
3 miles = 3 * 5280 feet = 15,840 feet
Not equivalent: <span>3 miles, 15,480 feet.</span>
If Kathryn ran 21.1 miles and she ran 14 more miles more than heather then you just add 14 and 21.1
Answer:
First of all, it is better to note that x2 is not equal to x² .In mathematics x2 is equal to 2nd x or 2x i.e. 2 times x=2*x=x*2.
I don't know what this question means ! But if it means to just confine x2 and -6x in a square or to make them part of a square then it could be done as follows.
Assume x2 as x² as per your needs as case may be.
Now use the identity
(a² - 2a×b + b²) =(a - b )²
Here , in LHS
a appears twice as in a² and in 2a×b.
So for given expression (x2 – 6x = 5) or (x² – 6x = 5) or (x² - 6x -5 =0)
Assume x=a
Then,
6x =2*x*3 =2*a*b
=> 3 = b
Thus
(x² - 6x -5 =0)
=> x² - 2*x*3 + 3² -3² -5 =0
=> ( x² - 2*x*3 + 3² ) - 3² -5 =0
=> (x - 3)² - 3² = 5
=> (x - 3)² = 5 + 3²
=> (x - 3)² = 5 + 9 = 14 = ( ±√(14) )²
Now comparing
(x² – 6x = 5) and (x - 3)² = 5 + 9,
it can be said that number 9 should be added to both sides of (x² – 6x = 5) or (x² – 6x) = ( 5 ) to make ( x² ) and (-6x ) as the constituting parts of the square (x-3)² .
I hope it helps.
Thank you for patiently reading it.
Area of a Triangle = (base x height) / 2
